On Tue, 17 Aug 2010, Matteo Sisti Sette wrote:
On 08/17/2010 12:45 AM, Mathieu Bouchard wrote:
It's a common source of disagreement. Eventually, any system of rules for handling infinity will "fail" at one point.
Any? Or only those that try to _split_ the infinity into a positive and a negative one?
In the end, straight lines are good at being what straight lines are, and circles are good at being what circles are, and topologically, they aren't quite the same, and you can't have the characteristics of both systems at once, as it would be contradictory... that's just the topology part. After that there are the algebraïc matters...
for more reading : http://en.wikipedia.org/wiki/Extended_reals
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